A polynomial equation of the form y=f(x) is said to be a linear function if the degree of the polynomial is one.
Consider that
Option A cannot be the correct choice, as its degree is 2.
Option B cannot be the correct choice, as its degree is -1.
Option C cannot be the correct choice, as its degree is 1/2.
Option D will be the correct choice, as its degree is 1.
Thus, it concludes that only option D represents a linear function.